Affine and Finite Lie Algebras and Integrable Toda Field Equations on Discrete Space-Time
Difference-difference systems are suggested corresponding to the Cartan matrices of any simple or affine Lie algebra. In the cases of the algebras AN, BN, CN, G₂, D₃, A₁⁽¹⁾, A₂⁽²⁾, DN⁽²⁾ these systems are proved to be integrable. For the systems corresponding to the algebras A₂, A₁⁽¹⁾, A₂⁽²⁾ genera...
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Datum: | 2012 |
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Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | English |
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Інститут математики НАН України
2012
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Schriftenreihe: | Symmetry, Integrability and Geometry: Methods and Applications |
Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/148464 |
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Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Zitieren: | Affine and Finite Lie Algebras and Integrable Toda Field Equations on Discrete Space-Time / R. Garifullin, I. Habibullin, M. Yangubaeva // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 41 назв. — англ. |
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